Question 14241
Suppose: x is the number

Math model:

{{{x +5*(1/x)=6}}} ------>multiply with x
{{{x*x +x*5*(1/x)=6*x}}}
{{{x^2 +5=6x}}}
{{{x^2-6x+5=0}}}
{{{(x-5)(x-1)=0}}}
{{{x-5=0}}}or{{{x-1=0}}}
x=5 or x=1

The number are 5 or 1.